1101110122033 has 16 divisors (see below), whose sum is σ = 1166775172560. Its totient is φ = 1035544784896.

The previous prime is 1101110122009. The next prime is 1101110122121. The reversal of 1101110122033 is 3302210111011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1982464 + 1101108139569 = 1408^2 + 1049337^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101110122033 - 2⁵ = 1101110122001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101110121998 and 1101110122016.

It is not an unprimeable number, because it can be changed into a prime (1101110122633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219823833 + ... + 219828841.

It is an arithmetic number, because the mean of its divisors is an integer number (72923448285).

Almost surely, 2^{1101110122033} is an apocalyptic number.

It is an amenable number.

1101110122033 is a deficient number, since it is larger than the sum of its proper divisors (65665050527).

1101110122033 is a wasteful number, since it uses less digits than its factorization.

1101110122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1101110122033 its reverse (3302210111011), we get a palindrome (4403320233044).

The spelling of 1101110122033 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, thirty-three".